Permanence of a Semi‐Ratio‐Dependent Predator‐Prey System with Nonmonotonic Functional Response and Time Delay

Xuepeng Li and Wensheng Yang

Abstract and Applied Analysis, 2009, vol. 2009, issue 1

Abstract: Sufficient conditions for permanence of a semi‐ratio‐dependent predator‐prey system with nonmonotonic functional response and time delay x˙1(t)=x1(t)[r1(t)−a11(t)x1(t−τ(t))− a12(t)x2(t) /(m2+x12(t))], x˙2(t)=x2(t)[r2(t)− a21(t)x2(t )/ x1(t) ], are obtained, where x1(t) and x2(t) stand for the density of the prey and the predator, respectively, and m ≠ 0 is a constant. τ(t) ≥ 0 stands for the time delays due to negative feedback of the prey population.

Date: 2009
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https://doi.org/10.1155/2009/960823

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2009:y:2009:i:1:n:960823

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